Deser, S. and Seminara, D. (2000) Tree amplitudes and two-loop counterterms in D = 11 supergravity. Physical Review D, 62 (8). Art. No. 084010. ISSN 2470-0010. doi:10.1103/PhysRevD.62.084010. https://resolver.caltech.edu/CaltechAUTHORS:20170127-153235533
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Abstract
We compute the tree level 4-particle bosonic scattering amplitudes in D = 11 supergravity. By construction, they are part of a linearized supersymmetry, coordinate, and 3-form gauge invariant. While this on-shell invariant is nonlocal, suitable SUSY-preserving differentiations turn it into a local one with correct dimension to provide a natural lowest (two-loop) order counterterm candidate. Its existence shows explicitly that no symmetries protect this ultimate supergravity: Indeed this invariant, together with the recently calculated infinite coefficient of its 4-graviton part, constitutes a demonstration of two-loop non-renormalizability.
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| Additional Information: | © 2000 American Physical Society. (Received 28 February 2000; published 21 September 2000) We are grateful to many colleagues, especially to Z. Bern, L. Dixon, and D. Dunbar, for discussions of their work and ours, as well as to A. Waldron, who also introduced us to the world of FORM and to J. Franklin and S. Fulling for help with algebraic aspects of BR-ology. This work was supported by the National Science Foundation under grant PHY99-73935. D.S. was supported by CEE contract FMRX-CT-96-0045. Laboratoire de Physique Théorique is Unité Mixte UMR 8549 au Center de la Recherche Scientifique et á l’École Normale Supérieure. | ||||||||||||
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| Issue or Number: | 8 | ||||||||||||
| Classification Code: | PACS number(s): 04.65.+e, 11.10.Gh | ||||||||||||
| DOI: | 10.1103/PhysRevD.62.084010 | ||||||||||||
| Record Number: | CaltechAUTHORS:20170127-153235533 | ||||||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20170127-153235533 | ||||||||||||
| Official Citation: | Tree amplitudes and two-loop counterterms in D = 11 supergravity S. Deser and D. Seminara Phys. Rev. D 62, 084010 | ||||||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||
| ID Code: | 73794 | ||||||||||||
| Collection: | CaltechAUTHORS | ||||||||||||
| Deposited By: | George Porter | ||||||||||||
| Deposited On: | 27 Jan 2017 23:42 | ||||||||||||
| Last Modified: | 11 Nov 2021 05:22 |
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